{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root is at:  -2.0000000929222947\n",
      "f(x) at root is:  3.716891878724482e-07\n",
      "Root is at:  2.000000000026214\n",
      "f(x) at root is:  1.0485656787295738e-10\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return x**2-4\n",
    "\n",
    "def df(x):\n",
    "    return 2*x\n",
    "\n",
    "def dx(f, x):\n",
    "    return abs(0-f(x))\n",
    "\n",
    "def newtons_method(f, df, x0, e):\n",
    "    delta = dx(f, x0)\n",
    "    while delta > e:\n",
    "        x0 = x0 - f(x0)/df(x0)\n",
    "        delta = dx(f, x0)\n",
    "    print('Root is at: ', x0)\n",
    "    print('f(x) at root is: ', f(x0))\n",
    "    \n",
    "x0s = [-1, 3]\n",
    "for x0 in x0s:\n",
    "    newtons_method(f, df, x0, 1e-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x: 1.537656185231936\n",
      "y: 1.3761515837984462e-07\n",
      "x: -0.6666666821537157\n",
      "y: 3.097409884134095e-08\n",
      "x: 1.5376561721368756\n",
      "y: 4.458405200580273e-09\n",
      "x: 1.763188089766313e-06\n",
      "y: 3.526385506029346e-06\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return x**3 + x**2 - 6\n",
    "\n",
    "def df(x):\n",
    "    return 3*x**2 + 2*x\n",
    "\n",
    "def ddf(x):\n",
    "    return 6*x + 2\n",
    "\n",
    "def newtons_method(f, df, x0, e):\n",
    "    while(abs(0 - f(x0)) > e):\n",
    "        x0 = x0 - f(x0)/df(x0)\n",
    "    print('x:', x0)\n",
    "    print('y:', f(x0))\n",
    "\n",
    "x0s = [-1, 3]\n",
    "e = 1e-5\n",
    "\n",
    "for x0 in x0s:\n",
    "    newtons_method(f, df, x0, e)\n",
    "    newtons_method(df, ddf, x0, e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106dd1910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111ee73d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#!/usr/bin/python\n",
    "# -*- coding: utf-8 -*-\n",
    "#copyRight by heibanke \n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "X, Y = np.meshgrid(np.linspace(-5, 10, 100), np.linspace(-5, 10, 100))\n",
    "\n",
    "A = np.matrix([[4.0,2.0],[1.0,3.0]])\n",
    "B = np.matrix([[3.0],[2.0]])\n",
    "\n",
    "R=A.T.dot(A)\n",
    "P=A.T.dot(B)\n",
    "\n",
    "def cost_func(X,Y):\n",
    "    return R[0,0]*(X**2)+R[1,1]*(Y**2)+(R[0,1]+R[1,0])*X*Y-2*P[0,0]*X-2*P[1,0]*Y\n",
    "\n",
    "z = cost_func(X,Y)\n",
    "\n",
    "\n",
    "# w, w_n分别用来存最速下降和牛顿法的迭代过程\n",
    "w=np.matrix([[0],[-4]])\n",
    "w_n=np.matrix([[0],[-4]])\n",
    "\n",
    "# 梯度下降法\n",
    "for i in range(100):\n",
    "    w_t = w[:,-1]\n",
    "    w=np.hstack((w,w_t-0.01*(R.dot(w_t)-P)))\n",
    "\n",
    "# NewTon法 \n",
    "\n",
    "#Hessian matrix\n",
    "H=np.matrix([[2.0*R[0,0],R[0,1]+R[1,0]],[R[0,1]+R[1,0],2.0*R[1,1]]])\n",
    "\n",
    "for i in range(30):\n",
    "    w_t = w_n[:,-1]\n",
    "    w_n=np.hstack((w_n,w_t-H.I.dot(R.dot(w_t)-P)))\n",
    "    \n",
    "w = np.array(w)\n",
    "w_n = np.array(w_n)\n",
    "\n",
    "# 学习曲线\n",
    "L=cost_func(w[0,:], w[1,:])\n",
    "L_n=cost_func(w_n[0,:], w_n[1,:])\n",
    "\n",
    "\n",
    "# 输出图形\n",
    "# 2d plot\n",
    "\n",
    "f, (ax1, ax2) = plt.subplots(1, 2)\n",
    "CS = ax1.contour(X, Y, z)\n",
    "ax1.plot(w[0,:], w[1,:], 'bo',w_n[0,:],w_n[1,:],'ro')\n",
    "\n",
    "ax1.clabel(CS, inline=1, fontsize=10)\n",
    "ax1.set_title('contour')\n",
    "ax1.set_xlabel('w0')\n",
    "ax1.set_ylabel('w1')\n",
    "ax1.legend(('grad', 'Newton'))\n",
    "ax1.grid(True)\n",
    "\n",
    "\n",
    "ax2.plot(range(101),L,'b',range(31),L_n,'r')\n",
    "ax2.set_title('cost learn curve')\n",
    "ax2.set_ylabel('cost')\n",
    "ax2.legend(('grad', 'Newton'))\n",
    "ax2.grid(True)\n",
    "\n",
    "\n",
    "\n",
    "# 3d plot\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_surface(X,Y, z, rstride=4, cstride=4, color='b')\n",
    "ax.plot(w[0,:],w[1,:],L,'ro')\n",
    "ax.plot(w_n[0,:],w_n[1,:],L_n,'go')\n",
    "ax.legend(('grad', 'Newton'))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "http://blog.csdn.net/shouhuxianjian/article/details/46669365\n",
    "http://blog.csdn.net/pipisorry/article/details/68961388\n",
    "http://blog.csdn.net/mounty_fsc/article/details/51588794\n",
    "https://en.wikipedia.org/wiki/Matrix_calculus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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YM2aMsLW1FZs3bxaVK1cW69at++x7kZP7iHzUqlUr7ty5w4ULF9SOIkmSlrGwsCAwMJCI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3z//fd3SX7eeefl3N9pXzU3N/stt9zi48ePdzPzCy+80NevXx92WaFoaWnxO++80w888ECX5LNn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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ff564a7cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "A = np.matrix([[4.0,2.0],[1.0,3.0]])\n",
    "B = np.matrix([[3.0],[2.0]])\n",
    "\n",
    "# 目标函数：(AX-B)^T(AX-B)\n",
    "def f_objective(X):\n",
    "    R = A.dot(X)-B\n",
    "    return R.T.dot(R)\n",
    "\n",
    "# 一阶导数：2A^TAX-2A^TB Jacobian矩阵 雅克比矩阵\n",
    "def f_jacobian(X):\n",
    "    return 2*A.T.dot(A).dot(X) - 2*A.T.dot(B)\n",
    "\n",
    "# 二阶导数：2A^TA Hessian矩阵 海森矩阵\n",
    "def f_hessian():\n",
    "    return 2*A.T.dot(A)\n",
    "\n",
    "# 根据目标函数求解在三维图中对应的Z值\n",
    "def f_z(X, Y):\n",
    "    Z = np.zeros(X.shape)\n",
    "    for index in np.ndindex(X.shape):\n",
    "        Z[index] = f_objective(np.matrix([[X[index]],[Y[index]]]))\n",
    "    return Z\n",
    "    \n",
    "# 将X的两个维度分别当做三维图中的X,Y，X如果大于2维图形就表示不出来了\n",
    "N = 100\n",
    "X, Y = np.meshgrid(np.linspace(-5, 5, N), np.linspace(-5, 5, N))\n",
    "Z = f_z(X, Y)\n",
    "\n",
    "# 梯度下降法\n",
    "data_gradient = np.matrix([[0],[-4]])\n",
    "for i in range(40):\n",
    "    data_gradient=np.hstack((data_gradient,data_gradient[:,-1] - 0.01 * f_jacobian(data_gradient[:,-1])))\n",
    "z_gradient = f_z(data_gradient[0,:], data_gradient[1,:])\n",
    "# z_gradient = np.array(z_gradient)\n",
    "\n",
    "# 牛顿法 \n",
    "data_newton = np.matrix([[0],[-4]])\n",
    "for i in range(40):\n",
    "    data_newton=np.hstack((data_newton,data_newton[:,-1] - f_hessian().I * f_jacobian(data_newton[:,-1])))\n",
    "z_newton = f_z(data_newton[0,:], data_newton[1,:])\n",
    "# z_newton = np.array(z_newton)\n",
    "\n",
    "# 图形绘制\n",
    "fig = plt.figure(figsize=(9,18))\n",
    "ax1 = fig.add_subplot(311)\n",
    "ax2 = fig.add_subplot(312)\n",
    "ax3 = fig.add_subplot(313, projection='3d')\n",
    "\n",
    "# 等高线\n",
    "# cset = ax1.contourf(X, Y, Z)\n",
    "c = ax1.contour(X, Y, Z, colors = 'black')\n",
    "ax1.clabel(c)\n",
    "ax1.plot(data_gradient[0], data_gradient[1],'bo')\n",
    "ax1.plot(data_newton[0], data_newton[1], 'ro')\n",
    "\n",
    "# 迭代图对比\n",
    "ax2.plot(range(z_gradient.size), z_gradient[0], 'b')\n",
    "ax2.plot(range(z_newton.size), z_newton[0], 'r')\n",
    "ax2.legend(('gradient', 'newton'))\n",
    "\n",
    "# 目标函数的3D图\n",
    "ax3.plot_surface(X, Y, Z, rstride=1, cstride=1, color='c')\n",
    "ax3.scatter(data_gradient[0], data_gradient[1], z_gradient, c='b')\n",
    "ax3.scatter(data_newton[0], data_newton[1], z_newton, c='r')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
